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Finding the Fourth Proportional to 3,807, 5,254.42 and 2,151

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Solution

The fourth proportional to 3,807, 5,254.42 and 2,151 is: 2,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 5,254.42 = 2,151 : x
  2. Step 2: Convert to fraction form
    3,807/5,254.42 = 2,151/x
  3. Step 3: Cross multiply
    3,807x = 5,254.42 × 2,151
  4. Step 4: Simplify right side
    3,807x = 11,302,257.42
  5. Step 5: Solve for x
    x = 11,302,257.42/3,807
  6. Step 6: Final answer
    x = 2,968.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.